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Full text of "Summary of the course of permanent fortification and of the attack and defence of permanent works, for the use of the cadets of the U.S. Military academy"


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CLASS OP i88* 












♦ » » 


Zithatthe IT. S. Mil. Ac ady. Press. 


Summarif of the Course 

Perm an en t Fortification 

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— ♦ 1^ * 


LiiJiatthe U. S. Mil. Ac ady. Press. 


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%9» Proi.J4^. Ji^. 18. So WY\MuA^ ^^fOb JbutnMAM of cu com 

w>dA\0 a a{A^tff\f aytjiXm^j wniw* ^yvall imAm/>pt a> qi/u«^ MiAjJouc/b « 


&0 . ProiJS. Fig, IS. oFo ^WJ^ ^Ivt oux^e (j|' iurrfLMAedtXovv 

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jLitntM cuKA^ef €,o) o/tAe -/u^^bee^ cvn^Ttnc -Jee>artaL €Lh , un/t j'viejt.ce 
a^nq£eJ 3 d. 1> O/noL Csih 44hM £ut^ -itt^io tH^ rtot^bvcitL^ncauQ'tje.ft^. 

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^ of^G y^ f ^tA^Kio .4€€ off aZona the (io^^^^^itk/tJtajcftJ, a/yujC^A^e 
/ojC^J Vd^^pt^ cU^cuuM^ i^coypv '^ncS^ ^x^H/yiXi ^o aJ to ^e 36 "Y^ 
uyyta ' cvrie, oUitcA o^:tAe ^ecCou£^ ^ ^ yoU, jejU-ioCe^ aunjoL Z '/x 
ya(J, oCe^. 

aca^e. JtAe. fvtoueeS o^ ouc/ynJ , oLe/i/yvol. X^fu oo^e^^ -u/OLy, aynoL 

31. o/nc c^[^t'o^ t^ alocc^ ^ -^"Utxe/fT. -c/yiXb oc OJte/mjOu/, 

ceA^ -curve to a^oco ^^ufiym, ^^o^ t^^ oU/c£c6 o/:t/ie tkAyue/tScS' 
CjAe jAo€t -^Ht/x/ne^Atd a/ :trLt cJte/^nou(/^e/ie, 'ttucou/ ou 4oce of%'tAe 
^aZce/nX^ o^ ^tn^ oo^e/otjoC ^juauu * ':tAe fix^^-ctLonJ (^ jtnc <onaf. 
'^^courie/uJ oucc -do ^taJeeAi, .4A/x^ ^m oU/cCe6 ^yytouu -^ ^e£/n^ a/not 


oy^^ MraJ ^ ai^c tAx^ cUteAeJ ^u^ cLu^^rve^nU^opU Jt^^ut :t^>€y ^dA^ 

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/O'/z Y^uJt OLOcyuc :inc ^rbootiuta/ a^t^^un^. <afAe o^ce4t'o/ tAe^ '^aUti^ 

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^z5^ <t^^a/yJh c^ ^HoU ^^tloucU S7^ ^iety 4x/itA xAjiJ ^cetc^m^fuA 



oU ^i^^y tU/u, jt/uvt au J^^otOueA, ^i%aAJ ^ ^ryvcuie. ^o^ JtHc. -u^kjtijiffx 

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^CLCce/yTXy ^rujun a^ trie ec^k^/^TU^totS. 

iAott' xAey ^moju Jt''4^4/i^7Jt ./y ^CAe^ fifce. o/ tAt, -iMi^tA^ ^i^t^ tAe *MMt^ 
4-0' (S^Uhtoi, tAe, fvvte>e>oCc/yvy deJcAxifCtuyyt , -if aif^&aucd y 

'Uxyyb&j oyruC 4ce^ -c/yi /ce/uiA^e :tne' c^c^eojcA ^yyvcuiU' -on, XAc 'WHJic4?9>i^ 
co-^iyitiJtcottyyLa ouyv c/y>tfhCHStbtyytt' -^teJt, i/rv ■tAe ccyc^f -^tcZtj /esLue 



"trie oCeiteA 0/ ^iAc aU/rruy- Sllo^jc^ ,^ jlAe/ce euce, aCea^ ^fiOLCiJ ^^ ^iAe 

4Z SSttMicoX ^^^N\M(^<^. Hi^AateA/eA, cLu^iJc4itu o/ofvuniDn 

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Q€/f'ze^,a£ ft/uyrLMt/e4 ^&y 44/AieJi 'tAt f2Jcouctcce o^tAc SbcJt ^ ^te^^ 
'u/a^t^, £j^ ^t/u44^ tAe /^^(HtHM^o cute tAt ^t^o^t e44€/nJtia/' 

68 • 

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Q/o ^aobOOuatA a, Zd^ojtr c?^'tA^ ■A^^Ajt' ua/ocl/oC 'ct^ccuce^ 4eM^ 
'to ^eajt jtM ^i4>e4^A^ o^ ^^-oac ox, eioAt ^me/y^ 
t^ 4AHiMj uMjtA. :t^ioLt fin^'ryx^^i:t4JtcLt/e ^r^-cccJ^jtt Xb ^iAe ^^44jO£aJ4 

-o-ujt XA^ri&n zjt' i^ e<oo7ji,oU/c.ecC tHaut' /A>i4 ^rrLocSt i^ oi^yze u^naCex, 

4/yt/m^ "^iri/coix^A jurnAjcA^ ayyu e/rve^fO'i/u yryTAJtAjt" ^yyvaJee, -A4J -ufC^y 'C^ri^o 
th^ ^c/yifeAu^}^ O^ tAy& -co-o^c^ , ^ ou6 JtM'OUy6<:te^ a4 cu AcoA 6e^a/c4^ -cMtSt 

4-5- cJo ^ictn/A ^6n^ -^ccuc^ uhulu Xfiox/>u^A/y -^u/efit'-^ "t^^ 

^aa^ zt^tieA:^ cvyi, ^/yte^yyi/u <u?^juco( ^c^o^zoC ^AeSte/c ^^9^ :^AxJ -A^^^ • 


>5coutfi UKU^ added io AaxoX o^ i)rvt wdMA4>c c/te6i &( we 

AtMrii^ o^ ^cwcfz u^ajU-, the iMce/ ^ctn/t n/oue^ (yrvAu ^u^ctn. ytfu^ 
Aecard Q4/uej9^ 't'o wic fioucounet^ ofnt ^eaJt ns<o0At -tncct-tfu, 

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4^ 44MZt ^t 'TteceJ^ajt/u ^ flun/iC /A/xju fax. CLfo'i/e tinA tk>f% of t/it um 
t^ mD^ntA o/ a/yt €/ynJ^L6o6ujc£^ oo/n ^ pioLceU 4o^in6tt ^i^ £urte 
of auctcUfc/u fuce,^ ^cece^ojona itn Q«tBaJtti4^ ^^rLc/uriatlo^z o/*/$ j 
4AaM jf^x^t tou^e^ ^tnt. MeteM>c uiae of JiAe eofu/na. c^^ 
n/HJtvtcaut^ ^ Ac^a/iitu fo<4/n/£ iAtnex ^ ean^ikjuL^tla^ ^ or, rM c^itai' 

4caxfi CL/rioC /la^ofict; 4/yi z4/AlcA, tA^ oi/c^ryt -^ Xfe^ty Zne ^<c- 
"thcco^ ^^ofze of stnt /ztz/ca^e^ 4^ j ot // ; *^ Jufttjccot. 4&f^ 
^ ^ ::tnc £inoo^ne44 of -tAc ^xsucofi^t' /6 featy y^€/^fna 'tAc ^uUt 

aoLoftJtcd fo^ tAe, t/nced^ottx.. 

^D^^cuxM/no CL Ttozx^o^rita/ -Ci/yit SLh tn^f^ou^A 3tAt 
^^^ (^ ^tAe (U^f'uyna J a. ^c>rve RC^ moJkuyva oun ou^& ik XdfOtHi 
Cih, uhI£ £c t/u, oLucecZian of ytAe St/yve of oixXcikmy ^k^y paA^ 
4t/yva tAA:xfuoA 81 • *^ Corte cOccuuJ^ fvOL.x/}L£ie£ to 'tAxJ £oL4t''ion/6i 
O/yiaC 3 f€£:t ctSoz^e i.^y 4Aj<£i tfe t/ie oCuce^cJtuxn. (f:tAe ^i44JUKjiat 
4£ofU^ ' ^ £<ync cOcouA/^n XA'cocu^A, e , -tAt footaf tAe sa^txut 

fio^cticyi of trie i^xttAu^ ^ofze. ^ o/rLoC tAe /loo^yvt irr%, j 44mJM 



p^^cti/yn. ^ ^h^ z^n;t&cu>^ ot^jt'^ j£;noct 44^-M 4actci^ :trit. ^3^n*- 

B^ Z fut'^ A.\y^ /8 f&et' M^cut^ a4 tA^. puf^/nt' rn t^ 3 feet /e/^ 
0/ OA^kZcocAJ ^£jc& (UjtX^ th^ fi€^cfu/ndc4UjL£aut ^6fvc4>u^A n y odaZSa 

3 ^eet ^^€£^€4/- tA^^ pooyify a/yvcC ':iA^e^cA/(yce> Idc* dm^ ed* X. 
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l)Tl-3C+5-Y, <jifA>LcA -06 tne ita>6t -Ac^At a/ rt aJ-ave ^)to 
4coti4/u 'tnt e/^oxoUtoon^ ^/yytfio^eoL . o^ ota^^od a/£ da/naejc to 

cAc^aJeoL o^rue foot", 

'tMut ?)6^eeX xA^XMe JCecxAii^ xeuc^ t>AaX' JtAc 4/ybc&uyU'& 4Ao<jt£d 

//pv 4Jt/-nceA, Oy /5>t« e/su>v -^ -^'Uf-ocaAt ^o £^4>ouv /xpoo^ A^i/^/cy pu><ynt' 

e^njouc6u6tt€ y a/k%cC 6/yb ^^ tAe ^^Sa/yuK//yLQ cue/cot/noe/yrie/ycts ao/yi. &, 
i^^cu/yLcaC ^coT^ cu jtA(ycou>oA ^yyio/n/nt^ ^^2^y '£u cl MAU^aSk ^!^^»z- 


ap-puyd^c jto ^/'. a^^ jtn^ aMcuurup'ne^n^a^'tiAA^ o^e^^ 'ibhje Sunt 
c2/^jlJ u></£ o^^yi^f ."tne rytcosJki^tknf ^^^ ytb ^eajc^ '^ ^ i/eet Jtiavt 

^e^'f^ttc/yia iu ll tfzc T.tLcef o/ tfu. JHot/nA c^tl feet y £AaJ djM\ 
Zo/ /ectj oz. Sy ucc^UJ', ayyooC tAe £e/xJt oCc6tduyi,ce, XAeJuAtA 


^ £CuiA^ ^o/nJe f "to i}^^^/^^ -^Ae, M/njftri Sf trie 'rn>cig4J''tka£ a/^tf^ 

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•'•^ feiit' O^ /Sf33 ya/LCU . Q'Ac rfU3uQ^4ika.£ a/ the c^outtojun, .un/t 

4d* Q^'Ti, ozoLeJL triaf e^tAo/u fLix/n^ a/'t/ie, eriAAc/ytX^ cLcttAy 

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oun^ci Aibde) ^ oi/yhot/ij u^ytoC truVt a/ 4.tif Z(yrb& o/ aU/e/kzce yrruAJt 
^ 4o ao'Tyv&^/yied XAoUt a£o pj£hoyit3 arv u/AjucA 'tAe crve/mAJ qa^ 
e4tou6&6A AuynJtX/ ]td /^cfce uJ^von. t^ve oUtbA sA/iM £e t4.HXAun, 
the ^Aft^ctcv^t ^ca/yuiey os^ tAue cL^c/m, /juSeoi fo^ /touyij^-dyrta tAe 
e/fijeet/nte^ ■ 

t/ie cu64ou£edj o/mA tAi^ oU4t?uA.gtX^e pke o/:eAe eoze/ymjy vt- 


&n. t!n& cftihje^ ^n/i/n^ , u/e/ce. trie ^/M/ytae^ a/Zfu. ^o7,i4^net: a4^ 
eou£ci "not ^^occi^cC /SO ^cucdJj cond. tAu /ahha^cC uum^ yto ^^malt 

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aJ^ to tneJe. ZM/i^tAd cU ajctocxij to i/yrUhcouc 'tfu4jc eJ^fLC^uBmuu. 
SO' afnt^c otAtoC otnen, eon4ccUKaX4^oo^ -n^^/t ^ceoL e<n- 

Qt/yve^AL^ to -t^t/tf tA^ ^iounAi/rva OLXJca/yLoe^rru/n^ o/tAe -^n-- 
ceAynte^ o^yv tAe^ '^axX- vvttot, (yc 9toaL/vv\^[UXr*X - ClAX^vv ^4vAmA zAs 
e^p^cXi/ue ^cot/fxae ^ ^etcuee/ri 3^0 aynoL''Mo ycucaU . c^ S^juna 
<>tyytoU/c tAe y^^'^ 0/ tAci auc/yyty t^ ^Me/^^^d u^t^^ O'^x, tA^ 
g&t/uJ '£/n> Jh/yyit' 0/ trie oaJtUyyv 4o/u>rify 'OuAjucA^ Ci£t4tUHjf%m yfc 
^zjt -c^o^y/tA Oj tAc oUttsA a/yiot iov^e^JtoL - OLHkAj , OL/ce^ €AMJtnxj9v 

6'0 youLoU a/ tA& 4a£ue/yijt, Xnt ume cr^ due^ye/vvce Ayvow-A nrujt mu- 
f}/. (yAe ^zo4^ctixyn, c^tAc ^Sa/yiA umXA ^^fieet to tAs 


^€tuje£/>^ a^ fzeJcfie/yz^U^MJcauc ^ "tine tuodtau/yv^ iVt tM f7jO€/njt ^urAenjt 
^ CMjCtS jtw 'CLoxe 0/ de/i/yu>e; a/yioL cx^ Mcfie/ncLucAji/uK "tb. tne^ o^^ 

fzo4i^i{yyi fL&tfie/njoLccAi£ouc "to "trLe, e44xtbu/f% ^ Z4/f%/aA/or4xM^ ^o 

(^ tAe e^AJdtiu/rv ^ (uynj&ex/yzeoL , 4tiU Ajt^ £e4^ jpoiAH>xjSLSie,,cunoLe^ 

^iiM ^ajttejc*^ bo i^axiuvuj we i^lowrjt oJbXo nrfuyki am. cuvto^ie c/^ AOO 
AA)^Vv iVxt CAA)(XaLA/Yv^ ^ns rt^^ctUyTx muxjc^ QA^/e/n, to it 4a% ^^fSUu^ 
4oAti 4^4t^m' C^4toute/n, tAx^ -AkSt ^uyS-ction, a/yvoL ^MCt 
nJe/tJ^i/nci^c^u£oLK. 0/ tAj& Sui^be^ a/ cU/e/rvct ; ^tAi/u. i^ 
Ojae lyrty JoA/cyc' {^tA& Jipt/yyu^j tiftait'j ^A/Ae/yo'tAjt oe/natn, a^ 

tAe J&x/nA ^4.^>ci£cC ^ Oj^ ^^jL^Aie/hf /e/notA. to cxkAJou oit £eoUt 
tiuo axAA^ J AAmjLcA ^AaJt/ ^u/€£fi £otn the (UMJttouun a/noC jfcuce- 

oft^ x4jAJuct£tu e^toyt^voct^ tAxxt a Wiavk ox Aft uoulcU uJtiU ^ 

4<4jffctu/yiJt /at. tAU fuatfuyio , tAu U T^Ae^uJ^te tAt Uoubll viMM\, 

ofr ^ioM^. oMo<AJCoL. 

53 • cfw JZcuruk ^maju -ve 4/yvc/ctaJi.oC ^t/uo^yu^ ttu4 Zunut 


off ^rrvu^t ho-cue/i^fc Sc ty^t/^/iH^aC ■:tAa:t ^ aj tA^ Sltva o^ ctBfrneA^ 

trie ^LO^-ctco^^ CL4U^rLe.cC ^.t a^a-i/c , cxi-^ onSu ^ 'Ofi^cic£>A4€i!t w 
<€^yia^rLe/yicng 't/ie c^cutt'OLorvy ot/rvoC jCncCt :€ru4/6 'ttL^ 4AvtiAOLO^ 4fuut 

to couacy aSt ce/vSf" cl6 ^rrvct/n/u aci/n4 cuS the e/ne^xy col^v p£a^ 

Sa/yv4 'dy^t€/>'yv a^e. /ocopx^ td ^i^cucy -^itu^ce^^ So OLrvoL '$S • 

c^^SfoUAc^n^ tn&6e ojuotno^cctceS ) a/rvd tcuAi/na ^jriXa co^n^icLucadtuA 
:^ve jc£^v4o^7j6 a£x£^0Lo0u ^actlUjC /o>c Ac^^tkjLttunjy th£. Ze/rvoiA J. 


ccoctcu/yv a/na&' ^^^^HiJ fLO^^tcoTi^^ "tH^ e/yctoct^ ^^^^^ Of^^^iC/ 
4^ £^ci^^tft ofv y^OTTie' fwt/PTjt o/4A/t ccuctbuyyv 'Se^Cuj££/yv ^^A eotiiPu/f^ - 

cue/joti^. ^¥f'fLe/yi^ ^tocee/i^ ^>z. au fLO^o^ri^ ^X^^ ^a^>vA -^etit^ee^ 

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the o^eoOtiJ^' 

a4 th4f ^€4iUt' -nu^Ajt -^itiueejrv tAj^ tbfv a/ :6ne fzautafuf am^XkJt 

^4A^ u/ojff, eye -Uot uxxkC tciiei'. 

t/uoocujA/H^ ^ -tM ^iounA £uu. . Svu^ MrtO^t&t 0>}y^(jxxji\, y in^ 44fAuA 
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/taJt^r^tc^Zj veAAVcj A\1 . fcfe 'UOUicU, t^tifncoted alonn tfic rnojacsttat. 


6 "^ q/Ac taXkKtox^ ^ui& ^^uM KeJidA' /koorv tfie^ aornSoni 

^ccmv comiwu/vtoj 'Wu ItoUbit caax^ouav, IwUkC ^to/ofe cuvuJi iiAJrfi ioutt ^ 

"tniJ C/l4€^^ iA/€J^ 4>n/ 'TLCyotM/c/yv c£ufrux:th6 /Jt/A^^ce. ouyi' ojtte/yn^f^ out 

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taJee»v 'j^ca^m i;t^ a/cyriQ trie ^^ccUaJ o/'tn^ (>h.a/yi/ne£, cuyt cLoC. 

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ouvc ^<^€rtfvtco£t^} it^ ^u><£c act onxi£^ -^ Jee/n. t/vcut :me -^-^^ o/tne^ 



•tne^ c^cotCvcrt rn^xjt ^ ^u^Stfcui^ecC , cox, ^ryio^t'GaJeJj tb ifbf ^eaJi: 

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a^ tA^ u'^u^r^fi -f >i^ tAe. £^ocX^^iot, J^oie4 ouce. ou <u^^rUeo^uji/yvu, - 



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o/ fLe/c/fo%a/n£/yi)t ^o€i42<^^ to 4ZuL6ih.outh the apjtlic/xtion^ot 

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60 fexlexA^or- OaxU, §WUeY cwvA Co'vvuwvaMxi o^ 

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couhc/ryj ^^op^ a/ncL oU/rrLe/yLd'ConJ ^ toAe/n. ^Sr tM^c fvou€t^ o^tfie 

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tfit fiovrtit frO'O) , i6 •:tAe^ ^c^444Jtexi £orLC^. d/M^ ^o^I- a^ -tAe^ 

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cff^ :tiJUU. ^tXsmv ^tAt fiounA i6 ^^njOuaU J^,o ydi 

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a 4k, 50 yaU , Aorro ^Aa Jocft of-^Ajc, ^udo^xJf 6coixfL . o^ze. cM4t: 


QJn& StJittorn, of'tAe cUttA £€tuHje^^ -t^ i/yyiSounAoyu/irtt 
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4Jihnjbc/l ^CCAAJCei 'tM OUfin^LL'^ UA/rU^ pUH>n w/nQ 


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afnjt, c/uAt'c^'tAjt di/yyuL-iu/yu^ c/yt/^^^xt uHi/^ <4 cu Stow 

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tMtx aynnuttStuyrif 4jo€ti^ tne. cjaftcAstS^ 

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^3. ^^DtrOAie^t^e^ 01^ me cU^/wt-tuAie coveted 

fhCouCA ct£ auc/yyv6. 

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out cu oLutounA&o££9 60ffoUj^rfzejOLUuu/3L(y>^ouft^^ 

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-tht ouu^ a£ Z, 66 /uoU'y ihA dtA&o ; tb tAc OLfui' ^ ^7 ^^ ycUj 
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Ti , 4J orut fio<jrdr of 'tne i/yid ^0. Z*^ ounxi tA& Sune^ n n', 


n/ft ^t/rOtt/t6cct' arv I'm, ^tH&n, ^Omt, (ft^jU. fioonf v!,^frvu4t^ it 

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auncL £cu6y ^yyu4M/n4 a£ ^u6iJteoiJt'- 

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aA^ou/yui O'utK umjicJt -int^ e/yze/yyiAJ ^truuM: ofifuoaoLcA, uf, 
-^ne oU/yyuy £u/njt 4a/u/>^ filouc& of outorU . 
J.78. Q^v iAz oUft/rvce/ of tAt otAju, fto'ctuyyiJ ai 

a£ouc/j6 of 't/it aCe/mx, - Su/ne, (uyut/oejoL cucjou co cou/f^ytitJt6caj 
aobUe^ af'thj& oU/nveATMxyyU (f ou a^^/^t/ncU. aalieJtAi, td fU 

^6tou€£/n/ "tfut tuH) ^^ca/otJt6€6 'rujcdt to -iAt/ ^ote/yttu^c/yin fi^ht 
OA/yrvS y 0[y £c&t(S/yu/na aaXteAyu tastto'^oL6 fuyrrv o^'i^ e^aftfLtyrt 
of "th^U aoutU/t/u ^^n/ a$tL dS&xycut, cLuu/dtuyn, outcuouvoU, a^ 
^yoUMJt/^ fixkX4x/tt6 "tb tAe^ So^yva -i'LOuyt/i/o oftAj^ (uyuvced. 
(yu>st ^tttouix/nf "tAe, "tUfo fhoAJt/tStS , ti> ^jubtAon/ Zo yoA/ts of 

/tf" ycvcxi^ ctfijoutty Hx/jyo ocot fk/yrn, 't^ ^^riou/yv <yyve. , aJoccC 
td ^yru/yiajit e4f€A/u fLO<j^yat oftA& atcucjU -tAoUt co/n. ^ ^^ee^ 
oy tAt ft6ctg€A4 a^ytAs. (2%^ aJtoccfTJ of ^9vu/nje4 fot, 'tAe^ 

cexte^ ^ma/u So ouuoouyvatoL £(}kc iAjode of-tAu. cxyyytji^yyioL 


coix/rttl^e/vcfi aobiltAAj :>AoclIoL rutnfe/ 'tcuo ooctf^t^ c/yv tfic 

M^ u/Atn. tAe 3^ p/x/ui£it£ ^6 cxyyyifilctcoC , OL/yiol-in^ ccyy^h' 
"yyuxA^AXt^a^OTL u}^(tH 't^fit aoui(AyOt6 i/ic^yt Atfit 4Xfz Su cju 
aouuCeJU/ ^taucU/no to we ^yia.o>i oUtcA. Jo ^iK^frfiXy trtt 

Q^ux/yi/*A, .^Aoccloi Xtoui tb itr puyyyv ou fvooyit of'tnt oLe/n^^ 
Zu/nt cou/yctvodcOLA^ uyyuoLcA. 7^4^' 'jtca/veA^c rujoc^t to 'trve/ o^yu/ 
of trit ^odtU/rt^ fi^iouie. o£ OA/yyLd > 

i,79' ^xocuzd Of aOLt£tn.ctA ayndb ryuynz^ JxrrLctax tb t^U/ 

. O^ziy oro fuyri^ of 'trie oU/yri^ - counts 4a£ie/yif jf^ujOuC^ of CUi'yyi^ ^rnOA^ 
So cuuca/yvatcL fot t^ oLtft/yvcz^ of tAjt ^oUtio'ny 6ab[c£/nt fiiouCje^ 
of 0cA/yn4 . iA'yhoL ou aobuouu ZtoudLcyyiq fuynv -^^ c^H4/>it'c'r^czufv 
^ trit' "yyuDui/yv oUtcrt ^rytjOuu ^€/ ^ynxtcU/ fo'o tAt ■6^a.^'Cca, of ou 
oAjOuj^ fo^ 't/bt oUfcmA/Cy of tAA aiobcujS of t/ie^ ^cjte/yct^Ax/yio 

flOOLC^ of OUt/yri^ . 

Cu/yie. OL/TboL liz ^ixLouMtr, cu aouti^AAj ^yruxAu -^ T^yvaoLe.- tc/^wLcfo 
ttu^ oLctcJh of 'true ^ux3U>u/&(' -nouuiyyuf <Jt6 o-uot^ct <^z :tf'i& 



o^ ^TYu/yuA ^yyvcuu ^t vc^jnjut fiAA/rinjOuyiA/yijt (yu 'ti/rrLfuytoA. 
'tnc ^oum^ijt 'toyyvL AjJ<tA 'tAvt cftfveAy CjO^ytdi^vm^itocyyvd ajf^ 

OL^^ "tfu^ Sottcyyyi ft>U<^ au o^^jO\jjv\j6^ /M. , Pl.VBL . Fi£ J 

4A0U/6 "lihz ^/yn/yi£/rXcoori, ^t^xA^je/n.^ iA& fuoA^ of'tfte^ fka/^ 
4 tb ^yx ^/yucA^ t/bicA . afrit ^uie ^foUXunjo ^^-vo/u A 


n^eZouAi^ "t^tAo^ on/ 'triMJL fiZouQjtS 6SifU of fiZounA, "tejtnnTjejob 
aouk, o^ fu/n>tj 'tnt /oXteAy ^^ fvc^ltfuju^ie. ou ii/O-ftXtdir. (She, 

oUfu/yLoU/yvQ cyyv tAz^ a^e/it ct^ tAt ^ActJt • '^^f'^^ve/ny 'tA>c6 ci Aty 
oOu/u<yn^ cu aa/ii/uu puyyyz' ~tAtf Sottcyyyv a£ '^^hic 4AcxJt, "tAjCy 

aX^ £caJtijQ€^aI -to -tfvoct a^ T54e ooLileAy i!x.o^yyo (KOt-tz^ accC 


oU/yyie/nj6coox^ J urrujch^j'to cutcour 'the ^yu/ncn^'tb cuo^^ oj-dbfi 

fzcc<^, izcttoj^d. "^o A^ iAx^c/h Otfvt^^ u>/ijLeJi ^ z4rfu/>^ fvut 
'l^oc jAcc/f:^ ocucrt fleece fvi^itctc/n^ Jt/uaruji itAie^ 4<joL€j^j 
u 'tcn/yyitoL ou %'jSsb ^xawue/ , Fig. 2 a/noL ctido c<yyu<^t6 of 
A(xla,*ey(t CLt" -tfic errwU 'to Cct-, ttz oLi/yyie/yiMorU <jo^ -tAe 

18 y ?Jn iH^ loo6c 4o<X ct yyia/u Se^ rUACMoAJU -td 

a. 'te/y>if7Ay^caytA./ fzo/yyiOjOYx.^. 4 , 'teA/yrvtoL a/yv 4X^xXaJLuwaj| 
<ffruj6 ^ 6oryie<juAyCLt XcuuQ^A, <./yv 'trtt CCtOA. "tfioyyt "tAc 

*44 /a^p6 on/f ^ *^vcfifa/.'yi^/iC jTa.JttJ'beA. cyyo. 
i 88. (Jffte jfy-hodctt fvLtC^jS of ^jouc/o Axk/rnje^ cuu, 

4A/tth cu SciLu.*^ duly 'te^^ymU a OCOW/^ OLtT'ttve^ ^rnjioUUttj 
fnt <.LfLfu/i ScoU.. dfAe. dented 4tJouty~to foac tfit fu>^dtcani 
iatAocJv 6^u: jptiX^yyte iho<jL£oL o-ccxaj^ coAe/yv £clcoL^ 
/8P. KyTtC' 6c<x/yitlL/yvQ fo^' taf^^ J^ocurru^ c6 ^cU^d^altu k 


191. Prob. ^i^-5- Q)^ (ie^\^ o^ a /Svux^^, OAvi^ V<\si \^a^xJ>X 

^n^ztoYLOf y OL/rooL trie 'trvccJ^^f^eM of -i^ ^AaJt put/mc > 'to 
'ificS ^4junv ouoLoL 2 on cJi^J pyo /Vd^ ^fbOutUy^ ^ctUhttA^ 'Cney 
qouteyou pax/yyut/ Ol^>udL 't^M ^riOL/t' poOArU/ ^rbcoct^ cx^Saf^t^ it^'io 
vyCtkj>oUuc£^ ^thijt 'tap. ^ruutoyiQ . ^uStk/xdt -i^n^oi 4<4/yyi^y fk&m, 
■^!nA oLtf^t>fv of ^-ub ^^A/tft' J Oi/ybbL oU/tHjoU^ -t^ xx/rruJu/ytoUx. 
4/ntv CL/yi/u c/>oiA/€/yuje/yfX' ^yixA/mJ^Jo of ^^^LLa£ , ox/ ^x^n^eo^ujOLC 

ZZ fbj a/njoL Tbfit ne>LQ^ of lAe^ aaMcAyu ^\ 6\ c^e/yt-. 

(^'Loryv a^oouyyioL '6<£E^ eas^vuxyo of "tofo d<Jl rU- ^ //! 

Qhfv ^Atttt/yva O, /■ 

(^^^Ulft' pUX/rnje. €. ^3i. 

o/ktc 4fi,0LtC O" ^ . 



aJAu 'ioJke/n. Puy*on, ZZ fir £cct^c6 /6 v S/z y 44/A/^/i c/xjyv St 
4/ntVoihcxZ ^^ '• ^^ 7 .urn4..eA. ^ryvouu St ^^x^e^ed^ ec^ruA, Jtt \ 


a^ -tnt cntiA/uCLi ouoLoUcL -to "thje. 'iAujcJe^yu>6s aj^ "iAc ^Ai 
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i9'5 ' (S^rit 44H)^ -06 CO'yyi/ryion.CjejoL 4y, oOuyihc/yta ou) 

jCo^ t/i^ 'tofx. puk/ryvc/ ; 'the, fUe/u^ ojf 4A/AjicA^ cuu. olcjcjumi 
^toujoLy o/yicL (uyyi/unz/i ^ /vicJietS , (ym, at -tAe. e/yuoL < 
i^CbcAy fictc>t y (uvte ^e/yyva AjouoL ^ oUcutH 'tAjt tuho f7x^ 

a^yi iAc 04jjt6<jOU. of tAiO ptxt/yyu^ out ^6A& O/n^^^jEoA^ fvo^ 
•-Wfetz iAu/ puiume^ jj6 £ouioL tHt cuCjCju/oolc/u of ctd ^*zo6<x 


1.94. (pyn& ejoc/ioui>oLtocyro <J nAH^r (unrx/yrije/yvijtjdL , ouyioLyiZ 

tne cnM/yy}.St6riQ (r£ 'trie ^o<X oLotS ^rtdt' .oyt^ex/ejotf j ooa/ji/u ^ 
aoJuctecC oU jCoa. oU -fA^ fu>6^^:ixryo of tAjC fot>6t: 6/jiey fuounve, - 

fUtce^ a£ tht opfi/x5ctb '6<x3Lt6 o£ -itnt -tcyfv pux/fn£. , a/noU tb 
'the -:tuj^ (UPcAZ^fi/yyvoU/yija fiAAMiJtd af-trit -dioL^ jpta/rrUy ^ "tfit 

dL96. <^nx>6 pUk/yyub JtA/yuj looc^coi y 'tfu, i/yvoU o£ ^Autong 

"tn^ ^Ae^cti/yia of 'tfit Cuc6t co^eAA^ ^ a/njoL iiAjt e4x;.c/kAMXtuyyi 
co^yCCi/ytLLtoL . c^Ke. 4o<^ ^yuHjw ^Securyyuyna 'tk>oujove4ao'njef ^ 
'd^ CA44/yyvM(i/rUf^ ^yyutcUuA^ onnxjU'i: ^ tjouki/yb tjO tttouyyf, it" 

fUAJcf<Lo6tf -Tbnty ouu/scjut4ja/[yif pva/yyit Fi^. 4. u^ iyitAM<iLLcai,a/i^ 
-ruuiAUj ryuioLiA^a/u t^yo "trit toateAAHk£ y £c/fU' 'tfit zxj6<xxx£ pcoi/yroeS. 
iyric 4fLUt(/yLQ 4ArfbLcAy 'tfvuJ fvo AcU S^&f^ a^ui^jLuxiuU/u ou3L^ 

out Sottcyyyv , to aa>o>i.' fiiyi>yyv jfex/ 'tfie^ oju/XAZUiM/ /k/k/f^'ve^j 
^cue/i^eA y oyiAiAjtejt £etujt€/yv 'tAe. S^ooA^oU (^ 'tAjt' tkA/o -c/f^ 

a/yho(, y5rveyet4A^Q cvbe. i\iMA.4jejoL o^. to "tfi^ oottooo^ of'tAjt^i/ 
^u^ct t "tn^ ^yteait Ajx/yyi^^ fi^A/yta , o/yz/^ "trie, 4Aejeii/ytg /ipt 
^ncur ^oyutzAytfoJ ^/yu(?cx><i4jLce//. - (0U^ oujUkuXcaJOu jpta/yrLt 

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^Oj CLf f^ceJiot ^ oOuAH/yv 4/yu -tA^, Sottcyyyt , ^i-i ^ • to ^nu 
't^ ce/ydbuxX fiooytt . 
196' <>4 ^AitcA' f ^yyuvdt td ocy duxtoLiit ^c/ti^y jA» 

aoiMeAAi 4AWvk,j t/bt 4^etcA>t6 p$^ ^u/roucA^ ^AauZoL ^ n/t^ 
ouc^UL/cootttu ot/LOUAj^yv J n^ejoe/yvtuxjC oc/yvot o^uuyyvSe/teoL ^ cl6 'tm 

to oLtteA/yyu/yit> Jix^^ctuyyU a/yboL oU/yyije/n6<x>o^ ^ 6ooo<i^ ^^ 
4jyntu)^jtiot/yiJt fio^ttuyyU 

otynxPtfieA, c6 teA/yyux)C a^&/J^^Jv\^ j OtyrhoL /^ (UJuBte/iL (DWA>qAAfi/, 
tfic axjczj a^ trtt tuH) a(x£itAXJt6 o'nyOuAc ou ^u^^^Jt ot, cun 


^.ttujc/yz, >t/!^£^, ot/ i^ajtl6 puyyTv iAoJt af^ie^ oUfioxtLute 'tAc ^c^tux/yi, 

a^ aa.f£e/L^.e4 fAe. /2A/)^e/itieyyij6 a£'t^ ousted cxJce^ ft^t-^cujoL out^ 

AajU uhcUAj of eJijc/b aaMtMi 4/ro ^tntt (^-^eojo -^^xyyta ^r^exxit 
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^yuj(>4 of i/i^ CfOiMtfaif /koLonru^, ouyicL fi/ytoMy ou 4^^cj>rul 

(Me. iOn^ C D ( Y\p 67. 8 . ) U^tkt <uriJ> 

i,f W^y QrjL^/.^A/!J \f cOj^iJiJdtujtey > aA^ioL AJE^ tri^x^ jf^ tJ^ie.- ^.eJkAM/n.' . 

C d thjb eaittJcjuj^ ii/yve' of 'tAe, ^a/yrut*^ e f fJ'utt ir^ t^u. ^Ae^tunn 

^ejou of oUfuvdtiULC 7 ajyitoL tfiodt of "trut fo^tcauyv ajhH Sly .'oe/XjoUSu 
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"to ^tfie, ^UtuAATjt J rx/nd. tfu>6c U , v of ttUy jbuuc/yCcajou fcttcui/yh^ 
-i^rie, e/yit^u3un>ct t:o tn^ aitcacut ^cetUfc/yo ( Fi^ 8 ) • 

d%6 GOjdty of OU on^ounyoty of oUn^Jlti/yyu //yL Q jui^ 
CVl/u >U 4fu)<^'yh 4yyo / Pttf . 9 • ) • oV€/r^ to cr^toLi/yh ^urtym. py^c 
"tn^ ^nvCrve/c 'to yTjOunolM^ 'tne. ^fiteti/yLQ d^c, oun, e/yuji of ouyu 
aLuccjXuvou aa££vuti <j6 ^n^ouoLA' o& ? oyo t^ ^ou^/yiyt cx/nnie/ of 


poiM^AAf o^ oUfzouttuAje^ a/ce, ^yytOJokeoL , au foit/H4j6y to ddtou^ 
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^ tnc aalteK/u a£ defukjttouotj ^ Setu^tje/ny 4JLrAjieA. ~tAjt e/n* 
tr^o^/*t^ to tA^ /utuA/yh 06 fi£ajC^ejoL .- -/ ^ ^7^fu/yv -the. fuOHU 

'te/c^6^^tcO'yL6 a£ t^ ejoctvccot^ Sorve^ a£'tAt ^-MJttt/yUjf xtnik 

eyytt/cOL/yvCe, to -tfit 'cttcAA/yv 4u>i££ £t mum£ tJo tjfu 
S^t4M€.e/yb ~i!nef eaot^juo^ ^uned a€ trit ^AuZorLO a£' 
2 "^ ^Ae/n. ibkt a/yuait <^ JetLoe^ejyv 4-5^ ot/yvct 90'' , *^ 
'tocScctoH^ o of 'f^ eAxtjuuLO'o £i/njey ajf (^ 4Atete/n>a of 
^cetcutyyo , urAxjcJiy £it6 4ju<jtAyC/yb 'the, cuyvaSe, p}f/yrbU)L -Su 
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cuyWL ~tf:.cct Qi of tAt cftnVL eKcttJcuyt. coyit af-tfvtf 

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QPf ^H.&: trieA.efo^Lt -^ fU/fcuMM^b tjo ^ynouAc Cu A:,ectdc>zadAjtaik 


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4c Joe^OjoU^y ^vt ooJt. c0ie. ^ctdtr aj^ t^fvb fvu>S£e/yyv unM ^ 
'tk>eA)Ctu)C Cb6 4AV tAvt ^^CjC/yyid ca>6e/ . 

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a€ , on, (TtAtJo AjiHyods , c^ tAit ^itun/yi, zju^^c ol ^^>a^ tAu^tc/^cutd 

0f 'CtZ CUJC4^ J 4Ae, 4^(i/ywA^Ooij6 c/yi' 0'f^>6tu}^j 6riou£d.,^yi/>t 

ru/kioLe/o tAjU ^n/yi^toyie/yit: . 

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^forittfuHjU "to it- Oud-ofLt^d /bt -tA^ti/c 6crEutlcy>v 

ZOO. ^(kAH/yva ^et o££ txM tA^ £ofijt4 lyyv tfvt ^H>x 

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44 pt . fcvctncA^j Oiat ;yf 'i^i. fT-S&ocLt cyyie^. (0iA fixx/c:t' ?lQ, o£ 
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^yyui/yu^ tnt ^/yite/uo<3i£6 pi^ tAe, d/^tfUA-it fio'ttcoo'U optAey 
aa/EeJi/u . 

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"^olU Ttfit 44H/3ttfh aj^-tfbt Xound//ybQ out C . . . . Z. oh. 
cSfub "lAjucA/mM a^ Ou qolIUa/u pujufOT^ oct'thb £ouyioLun^.o. s . 


y&ajU iAt xjuui/A o^-tAjt ZourUjU/yva cot C t .(^ 

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'th/t &k/nMLU^ jptojyyiJt Sen/arioL 0» 9 


•^'i ptAUi tfie. I y\JtiAAMxlA ftn. "^vt pjouct SB, Aon^. 
3o pt. toAe tnt pritoaHyn.Q CLjofotaoott, 

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■ V 








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c6 OLoout £u/yiya eocfio6td j wAe/n, ou cAoL/yuie of cCuctctco'yv ^ 


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fio6t (^ avtobunAjyujL ou ficujMvrm 
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19 (pTne/c^y out& tu^ /4HiAi4 frf To^nnriorLq tAe (UkA^oJuejo^ 

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e^/ctri zJ en 4'UcA Ob ^attcfcej tkctt it c/x/rv St e/3L6<Iy yrnouoLt 
to 4tixo^ Oit ouyiAJ 4cafie/f cu fttcojimt A>efvct4e/nte/jL J^ Fiff.2l 

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20- Wru^t. /'/(je, ^atc extaoA/oCttoL ^^ Z>oo44/, cu cOAHJcicex. 

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21 oV^U'wdcd/ cSeiKCAoX. ^Ae/n ou fk^/i^uJz S^4 to St, 

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